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Monte Carlo simulations of the four-dimensional XY spin glass at low temperatures

Helmut G. Katzgraber·A. P. Young
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Abstract

We report results for simulations of the four-dimensional XY spin glass using the parallel tempering Monte Carlo method at low temperatures for moderate sizes. Our results are qualitatively consistent with earlier work on the three-dimensional gauge glass as well as three- and four-dimensional Edwards-Anderson Ising spin glass. An extrapolation of our results would indicate that large-scale excitations cost only a finite amount of energy in the thermodynamic limit. The surface of these excitations may be fractal, although we cannot rule out a scenario compatible with replica symmetry breaking in which the surface of low-energy large-scale excitations is space filling.

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Helmut G. Katzgraber, A. P. Young. 2002-05-17. Monte Carlo simulations of the four-dimensional XY spin glass at low temperatures. https://doi.org/10.1103/physrevb.65.214401

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